Lesson26

Lesson26 - MA 15200 Lesson 26 Section 2.7 This lesson is on...

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1 MA 15200 Lesson 26 Section 2.7 This lesson is on inverse functions . Examine the temperature formulas below. 32 5 9 ) 32 ( 9 5 C F F C Replace F in the first equation with 50º. 10 ) 18 ( 9 5 ) 32 50 ( 9 5 C C C Now, replace C in the second with 10º. 50 32 18 32 ) 10 ( 5 9 F F F Notice these functions do opposite things. The first equation turned 50°F to 10°C. The second equation turned 10°C back to 50°F. Such functions are called inverse functions. Here are two other functions that are inverses of each other. 3 23 2 x y x and y Notice that in the first function a number is multiplied by 2, then 3 is added to the result. In the second function 3 is subtracted from a number, then divided by 2. Begin with 5 as the number in the first function. Multiply by 2, and then add 3; the result is 13. Now, let 13 be the number in the second function. Subtract 3, divide by 2; the result is 5 (the original number selected for the first function). Let the first equation above be 3 ( ) 2 3 and the second be ( ) 2 x f x x g x . Examine: 33 ( ( )) 2 3 3 3 22 2 3 3 2 ( ( )) (2
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Lesson26 - MA 15200 Lesson 26 Section 2.7 This lesson is on...

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